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Replacing Nicholas Mystikos with Euthymios, Leo got his marriage recognized by the church ( albeit with a long penance attached, and with an assurance that Leo would outlaw all future fourth marriages ) but opened up a conflict ( the so-called " Moechian Controversy " from the Greek moichos, " adulterer ")) within it and allowed new grounds for papal intervention into Byzantine affairs when he sought and obtained papal consent.
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Replacing and with
Replacing the discontinued Medical Technicians Bulletin, publication of which was suspended with the November-December 1959 issue, a section called `` Technical Notes '' was inaugurated on a bimonthly basis beginning with the April 1960 issue.
Replacing statements including " to be " with those using becomes, remains and equals divides perception of, and expressions about, time more operationally into actual cognitive categories that humans know how to act upon:
Replacing animal fats with tropical vegetable-oils, such as palm oil, simply substitutes one saturated fat for another.
Replacing animal fats with partially hydrogenated oil reduces cholesterol but adds trans fat, which has been shown to both raise LDL cholesterol and lower HDL cholesterol.
* Replacing a Dictionary with a Square Root – suggestions for compressing GIFs without using LZW compression
Replacing the toxic Cremophor with carbon nanoparticles eliminated its side effect and improved drug targeting which in turn required a lower dose of the toxic paclitaxel.
Hideo Hosono, of the Tokyo Institute of Technology, and colleagues found lanthanum oxygen fluorine iron arsenide ( LaO < sub > 1-x </ sub > F < sub > x </ sub > FeAs ), an oxypnictide that superconducts below 26 K. Replacing the lanthanum in LaO < sub > 1 − x </ sub > F < sub > x </ sub > FeAs with samarium leads to superconductors that work at 55 K.
Replacing high frequency ciphertext symbols with high frequency plaintext letters does not reveal chunks of plaintext because of the transposition.
" Replacing it with " more ordinary analyses ," he noted that the best dowser was on average 4 millimeters out of 10 meters closer to a mid-line guess, an advantage of 0. 0004 %, and that the five other " good " dowsers were on average farther than a mid-line guess.
Replacing the high-profile names of Amonte, LeClair and Roenick were superstar Peter Forsberg, along with defensemen Derian Hatcher and Mike Rathje, as well as several players from the Calder Cup-winning Philadelphia Phantoms.
* Replacing old drafty doors with tightly sealing, foam-core doors.
* Replacing older windows with low-energy, double-glazed windows.
* Replacing symbols with new, weighted symbols based on frequency of use.
Replacing the quotient of the square root with its definition in ( 1 ), and equating the coefficients of powers of t in the resulting expansion gives Bonnet ’ s recursion formula
Replacing this with a new square-shaped rifling system designed at the Royal Small Arms Factory ( RSAF ) Enfield solved the problem, and the Lee-Enfield was born.
Replacing the derivative in Newton's method with a finite difference, we get the secant method.
Replacing requisitioning with a tax caused peasant production to increase, causing significant increases of food shipments into cities.
Replacing these two asparagines with hydrophobic amino acids results in proteins that fold into alpha-helical monomers and assemble into cages as evidenced by circular dichroism and transmission electron microscopy.
Replacing a natural ecosystem with a few specifically chosen plant varieties reduces the genetic diversity found in wildlife and makes the organisms susceptible to widespread disease.
Replacing a smaller blower with a larger blower moves the point to the left.
Replacing dU with the result from the first law gives
Replacing and got
Replacing interim coach Bill Austin, who had succeeded Vince Lombardi after his death in 1970, Allen demanded ( and got ) full authority over player personnel decisions, as Lombardi had had.
Replacing and by
Replacing the arithmetic and harmonic mean by a pair of generalized means of opposite, finite exponents yields the same result.
Replacing the security chips in most modern consoles are specially-encoded optical discs that cannot be copied by most users and can only be read by a particular console under normal circumstances.
Replacing C by a number will produce an antiderivative.
Replacing GL ( 1 ) by GL ( n ), the corresponding quotient is isomorphic to the set of isomorphism classes of n vector bundles on the curve, as was already observed by André Weil.
Replacing XOR by addition or subtraction gives slightly different, but largely equivalent, formulations:
Replacing the Ford Escort, it was produced alongside the Mazda 323 by Samcor.
Replacing the generalized coordinates by scalar fields φ ( r, t ), and introducing the Lagrangian density ( Lagrangian per unit volume ), in which the Lagrangian is the volume integral of it:
Replacing the air in antibubble shells with another liquid could be used for a drug delivery system by creating a shell of liquid-polymer around a drug.
Replacing Sparky Lyle in the top of the 9th with runners on second and third and no outs, he preserved a 4-3 lead by striking out the next three batters in 11 pitches.
Replacing the deck of the bridge and assisting in lightening the deck by 6, 000 tons are projected to be done by 2008.
Replacing the BMW E3 large sedan, the E23 was produced for ten years from 1977 to 1987 and was replaced by the BMW E32 7 Series in 1986.
( Replacing non-zero entries in the matrix by one, and viewing the matrix as the adjacency matrix of a directed graph, the matrix is irreducible if and only if the digraph is irreducible.
Replacing n-simplexes by their continuous images in a given topological space gives singular homology.
Replacing the downtempo ambient version found on the 2006 " The Makeover ", Watley recorded the new arrangement originally suggested by songwriter Pam Sawyer, for Ross.
Replacing the spring requires the removal of the slide assembly, which is blocked by a retaining pin held in place by a small set screw in the triggerguard.
Replacing the factory muffler with one that creates less back pressure is a modification that is often made by hobbyists interested in increasing the engine power of their cars.
Replacing the genus by the Euler characteristic, we obtain a formula that covers both the orientable and non-orientable cases,
Replacing hydrogen by fluorine in polytetrafluoroethylene changes the stereochemistry from the zigzag geometry to that of a helix due to electrostatic repulsion of the fluorine atoms in the 1, 3 positions.
Replacing shanty towns and bringing new standards, these modern " grands ensembles " were appreciated, but these areas were heavily affected by economic depression in the 80's.
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